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Popular >

simplify ln(e^{-x}(x+0.8))

Solution

simplify

ln (e^{- x} (x + 0.8))

Solution

- x + ln (x + 0.8)

Solution steps

ln (e^{- x} (x + 0.8))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (e^{- x} (x + 0.8)) = ln (e^{- x}) + ln (x + 0.8)

= ln (e^{- x}) + ln (x + 0.8)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{- x}) = - x ln (e)

= - x ln (e) + ln (x + 0.8)

x ln (e) = x

= - x + ln (x + 0.8)

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Frequently Asked Questions (FAQ)

What is ln(e^{-x}(x+0.8)) ?
The solution to ln(e^{-x}(x+0.8)) is -x+ln(x+0.8)